Diffrentiation

Find the derivative of the given equation

f(x) = x³ + x² + 3

• 3x² + 2x

• 3x + 2x

• 3x + 2x + 3

• x³ + x²

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of the given equation
f(x) = 1/x²

• 1/2x
• -2x
• 2x
• -2x^-3

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Find $\frac{dy}{dx}$  for  $y=\left(x+5\right)\left(2x-1\right)$  .

•  $9-4x$  

•  $4x+9$  

•  $4x-9$  

•  $-4x-9$  

Find the turning point of:

f(x) = 2x² - 8x + 9 (hint dy/dx=0)

• (2,1)

• (8,1)

• (2,10)

• (-2,1)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Find the second derivative of:

f(x) = 2x² - 8x + 9

• -8

• 4

• 9

• 0

Find the turning points of:

f(x)=x³+3x²-9x+1 (hint dy/dx=0)

• (-3,28) and (1,-4)

• (3,28) and (1,4)

• (1,28) and (-3,-4)

• (3,28) and (-1,-4)

Tags

CCSS.HSA.APR.B.3

 $y=^3\sqrt{x}$  

•  $-\frac{1}{3x^{-\frac{2}{3}}}$  

•  $\frac{1}{3x^{-\frac{2}{3}}}$  

•  $-\frac{2}{3x^{-\frac{2}{3}}}$  

•  $\frac{2}{3x^{-\frac{2}{3}}}$